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Decoherence of gauge-invariant metric fluctuations during inflation

Mauricio Bellini
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Abstract

I study the gauge-invariant fluctuations of the metric during inflation. In the infrared sector the metric fluctuations can be represented by a coarse-grained field. We can write a Schroedinger equation for the coarse-grained metric fluctuations which is related to an effective Hamiltonian for a time dependent parameter of mass harmonic oscillator with a stochastic external force. I study the wave function for a power-law expanding universe. I find that the phase space of the quantum state for super Hubble scalar metric perturbations loses its coherence at the end of inflation. This effect is a consequence of interference between the super Hubble metric perturbations and its canonical conjugate variable, which is produced by the interaction of the coarse-grained scalar metric fluctuation with the environment.

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Mauricio Bellini. 2001-05-23. Decoherence of gauge-invariant metric fluctuations during inflation. https://doi.org/10.1103/physrevd.64.043507

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